This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
I will solve the question. Question: If 2^-n = x, find 2^n. Step 1: Understand the given equation. We are given the equation: 2^-n = x Step 2: Apply the rule of negative exponents. The rule of negative exponents states that a^-b = (1)/(a^b). Applying this rule to 2^-n: 2^-n = (1)/(2^n) Step 3: Substitute this back into the given equation. Now we have: (1)/(2^n) = x Step 4: Solve for 2^n. To find 2^n, we can take the reciprocal of both sides of the equation: (1)/((1)2^n) = (1)/(x) 2^n = (1)/(x) The value of 2^n is (1)/(x). The correct option is D. D. (1)/(x) Last free one today — make it count tomorrow, or type /upgrade for unlimited.